Wild Primes of a Higher Degree Self-Equivalence of a Number Field

Alfred Czogała, Beata Rothkegel, and Andrzej Sładek. "Wild Primes of a Higher Degree Self-Equivalence of a Number Field." Annales Mathematicae Silesianae 30.1 (2016): 17-38. <http://eudml.org/doc/286741>.

@article{AlfredCzogała2016,
abstract = {Let ℓ > 2 be a prime number. Let K be a number field containing a unique ℓ-adic prime and assume that its class is an ℓth power in the class group CK. The main theorem of the paper gives a sufficient condition for a finite set of primes of K to be the wild set of some Hilbert self-equivalence of K of degree ℓ.},
author = {Alfred Czogała, Beata Rothkegel, Andrzej Sładek},
journal = {Annales Mathematicae Silesianae},
keywords = {higher degree Hilbert-symbol equivalence; wild prime},
language = {eng},
number = {1},
pages = {17-38},
title = {Wild Primes of a Higher Degree Self-Equivalence of a Number Field},
url = {http://eudml.org/doc/286741},
volume = {30},
year = {2016},
}

TY - JOUR
AU - Alfred Czogała
AU - Beata Rothkegel
AU - Andrzej Sładek
TI - Wild Primes of a Higher Degree Self-Equivalence of a Number Field
JO - Annales Mathematicae Silesianae
PY - 2016
VL - 30
IS - 1
SP - 17
EP - 38
AB - Let ℓ > 2 be a prime number. Let K be a number field containing a unique ℓ-adic prime and assume that its class is an ℓth power in the class group CK. The main theorem of the paper gives a sufficient condition for a finite set of primes of K to be the wild set of some Hilbert self-equivalence of K of degree ℓ.
LA - eng
KW - higher degree Hilbert-symbol equivalence; wild prime
UR - http://eudml.org/doc/286741
ER -